220513420 has 24 divisors (see below), whose sum is σ = 483213024. Its totient is φ = 84370176.

The previous prime is 220513379. The next prime is 220513427. The reversal of 220513420 is 24315022.

220513420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220513427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239229 + ... + 240148.

It is an arithmetic number, because the mean of its divisors is an integer number (20133876).

Almost surely, 2^220513420 is an apocalyptic number.

220513420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220513420 is an abundant number, since it is smaller than the sum of its proper divisors (262699604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220513420 is a wasteful number, since it uses less digits than its factorization.

220513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479409 (or 479407 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 220513420 is about 14849.6942729472. The cubic root of 220513420 is about 604.1503178348.

Adding to 220513420 its reverse (24315022), we get a palindrome (244828442).

It can be divided in two parts, 2205 and 13420, that added together give a 6-th power (15625 = 5⁶).

The spelling of 220513420 in words is "two hundred twenty million, five hundred thirteen thousand, four hundred twenty".